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Use the following function rule to find f(49)f(49).\newlinef(x)=9xf(x) = 9\sqrt{x}\newlinef(49)=f(49) = _____

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Full solution

Q. Use the following function rule to find f(49)f(49).\newlinef(x)=9xf(x) = 9\sqrt{x}\newlinef(49)=f(49) = _____
  1. Identify Function and Input: Identify the function and the input value.\newlineWe are given the function f(x)=9xf(x) = 9\sqrt{x} and we need to find the value of f(49)f(49).
  2. Substitute Input into Function: Substitute the input value into the function.\newlineTo find f(49)f(49), we substitute 4949 for xx in the function f(x)f(x).\newlinef(49)=949f(49) = 9\sqrt{49}
  3. Calculate Square Root: Calculate the square root of the input value.\newlineThe square root of 4949 is 77, since 7×7=497 \times 7 = 49.\newline49=7\sqrt{49} = 7
  4. Multiply by Coefficient: Multiply the result by the coefficient in the function.\newlineNow, we multiply the square root we found by the coefficient 99.\newlinef(49)=9×7f(49) = 9 \times 7
  5. Perform Final Multiplication: Perform the multiplication to find the final answer.\newlinef(49)=9×7=63f(49) = 9 \times 7 = 63

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